Consider the vector space of real-valued functions with basis (sin(x), cos(x)). Show that (2 sin(x) + cos(x),

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Consider the vector space of real-valued functions with basis (sin(x), cos(x)).
Show that (2 sin(x) + cos(x), 3 cos(x)) is also a basis for this space. Find the change of basis matrix in each direction.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:07 AM

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Consider the vector space of real-valued functions with basis (sin(x), cos(x)). Show that (2 sin(x) + cos(x),

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Checking that B 2 sinx cosx 3 cosx is a basis is routine Call ...View the full answer

Linear Algebra

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